1. Statement of the problem: Multiply the scalar 1 by the matrix $$\begin{bmatrix}a & b\\ c & d\end{bmatrix}$$. 2. Formula used: For a scalar k and matrix M the scalar multiplication is defined by applying k to each entry of M. $$k\begin{bmatrix}a & b\\ c & d\end{bmatrix}=\begin{bmatrix}ka & kb\\ kc & kd\end{bmatrix}$$. 3. Important rules: Multiplying by 1 leaves each entry unchanged. Distribute the scalar to every entry. 4. Intermediate work: Apply k=1 to the formula. $$1\begin{bmatrix}a & b\\ c & d\end{bmatrix}=\begin{bmatrix}1\cdot a & 1\cdot b\\ 1\cdot c & 1\cdot d\end{bmatrix}$$. 5. Simplify each product using 1\cdot x = x. $$=\begin{bmatrix}a & b\\ c & d\end{bmatrix}$$. Final answer: The result is the same matrix. $$\begin{bmatrix}a & b\\ c & d\end{bmatrix}$$.